30-60-90 Triangle Calculator

Understanding 30-60-90 Triangles

A 30-60-90 triangle is a special right triangle with angles of 30°, 60°, and 90°. Its sides follow a specific ratio:

• If the shortest leg (a) = x
• Then the longer leg (b) = x√3
• And the hypotenuse (c) = 2x

Key Properties

• The 90° angle makes it a right triangle
• It's half of an equilateral triangle
• The ratio of sides is always 1 : √3 : 2
• Area = (ab)/2